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The Low Mach Number Limit for the Full Navier–Stokes–Fourier System

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Abstract

We study the low Mach number asymptotic limit for solutions to the full Navier–Stokes–Fourier system, supplemented with ill-prepared data and considered on an arbitrary time interval. Convergencetowards the incompressible Navier–Stokes equations is shown.

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Authors and Affiliations

  1. Mathematical Institute AS ČR, Žitná 25, 115 67, Praha 1, Czech Republic

    Eduard Feireisl

  2. Université du Sud Toulon-Var, BP 20132, 839 57, La Garde, France

    Antonín Novotný

Authors
  1. Eduard Feireisl
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  2. Antonín Novotný
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Correspondence to Eduard Feireisl.

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Communicated by C.M. Dafermos

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Feireisl, E., Novotný, A. The Low Mach Number Limit for the Full Navier–Stokes–Fourier System. Arch Rational Mech Anal 186, 77–107 (2007). https://doi.org/10.1007/s00205-007-0066-4

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  • DOI: https://doi.org/10.1007/s00205-007-0066-4

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